Year 5 Maths: Finding a Fraction of a Quantity

Introduction to Fractions

Hello Year 5! Today we’re going to learn about finding a fraction of a quantity. A fraction represents a part of a whole. For example, if you have a pizza divided into 4 equal slices, and you eat 1 slice, you have eaten $$\frac{1}{4}$$ of the pizza.

What is a Fraction?

A fraction has two parts:

• Numerator: The top number, which tells us how many parts we have.
• Denominator: The bottom number, which tells us how many equal parts the whole is divided into.

For example, in the fraction $$\frac{2}{5}$$ :

• 2 is the numerator (the parts we have).
• 5 is the denominator (the total parts).

Finding a Fraction of a Quantity

To find a fraction of a quantity, you follow these steps:

1. Divide the quantity by the denominator. This tells you how much one part is.
2. Multiply the result by the numerator. This gives you how many parts you have.

Example 1

Let’s find $$\frac{1}{4}$$ of 20.

1. Divide 20 by 4 (the denominator): $$20 \div 4 = 5$$
2. Multiply by 1 (the numerator): $$5 \times 1 = 5$$

So, $$\frac{1}{4}$$ of 20 is 5.

Example 2

Now, let’s find $$\frac{3}{5}$$ of 25.

1. Divide 25 by 5: $$25 \div 5 = 5$$
2. Multiply by 3: $$5 \times 3 = 15$$

So, $$\frac{3}{5}$$ of 25 is 15.

Key Rules to Remember

1. Always divide by the denominator first.
2. Then multiply by the numerator.
3. Make sure your quantities are in the same units (like all in pounds, or all in apples).

Tips and Tricks

• If you’re finding a fraction of a quantity, remember to simplify your work. You can sometimes cancel out numbers before you multiply.
• Practice with real-life examples, like finding fractions of a cake, pizza, or even money!

Questions

Easy Level

1. What is $$\frac{1}{2}$$ of 10?
2. What is $$\frac{1}{3}$$ of 9?
3. What is $$\frac{1}{5}$$ of 25?
4. What is $$\frac{1}{4}$$ of 16?
5. What is $$\frac{2}{3}$$ of 12?
6. What is $$\frac{1}{10}$$ of 100?
7. What is $$\frac{3}{4}$$ of 20?
8. What is $$\frac{1}{8}$$ of 32?
9. What is $$\frac{1}{6}$$ of 18?
10. What is $$\frac{2}{5}$$ of 25?
11. What is $$\frac{1}{5}$$ of 15?
12. What is $$\frac{1}{2}$$ of 8?
13. What is $$\frac{3}{5}$$ of 10?
14. What is $$\frac{1}{3}$$ of 12?
15. What is $$\frac{2}{4}$$ of 24?
16. What is $$\frac{1}{2}$$ of 14?
17. What is $$\frac{1}{7}$$ of 21?
18. What is $$\frac{1}{4}$$ of 40?
19. What is $$\frac{2}{3}$$ of 30?
20. What is $$\frac{3}{6}$$ of 18?

Medium Level

1. What is $$\frac{2}{5}$$ of 50?
2. What is $$\frac{3}{8}$$ of 64?
3. What is $$\frac{4}{10}$$ of 30?
4. What is $$\frac{3}{4}$$ of 36?
5. What is $$\frac{1}{5}$$ of 45?
6. What is $$\frac{3}{7}$$ of 49?
7. What is $$\frac{2}{6}$$ of 24?
8. What is $$\frac{5}{9}$$ of 81?
9. What is $$\frac{3}{10}$$ of 80?
10. What is $$\frac{1}{2}$$ of 50?
11. What is $$\frac{4}{5}$$ of 25?
12. What is $$\frac{3}{3}$$ of 27?
13. What is $$\frac{1}{6}$$ of 12?
14. What is $$\frac{2}{8}$$ of 32?
15. What is $$\frac{5}{6}$$ of 60?
16. What is $$\frac{3}{5}$$ of 25?
17. What is $$\frac{4}{9}$$ of 45?
18. What is $$\frac{2}{7}$$ of 28?
19. What is $$\frac{1}{3}$$ of 21?
20. What is $$\frac{7}{10}$$ of 70?

Hard Level

1. What is $$\frac{3}{8}$$ of 56?
2. What is $$\frac{5}{12}$$ of 72?
3. What is $$\frac{7}{10}$$ of 90?
4. What is $$\frac{4}{11}$$ of 44?
5. What is $$\frac{9}{14}$$ of 70?
6. What is $$\frac{5}{16}$$ of 64?
7. What is $$\frac{3}{20}$$ of 80?
8. What is $$\frac{7}{15}$$ of 90?
9. What is $$\frac{11}{18}$$ of 54?
10. What is $$\frac{2}{9}$$ of 63?
11. What is $$\frac{5}{8}$$ of 64?
12. What is $$\frac{6}{13}$$ of 78?
13. What is $$\frac{3}{25}$$ of 100?
14. What is $$\frac{4}{15}$$ of 45?
15. What is $$\frac{8}{12}$$ of 60?
16. What is $$\frac{9}{20}$$ of 100?
17. What is $$\frac{1}{9}$$ of 81?
18. What is $$\frac{7}{12}$$ of 84?
19. What is $$\frac{2}{3}$$ of 75?
20. What is $$\frac{5}{4}$$ of 100?

Answers

Easy Level Answers

1. 5
2. 3
3. 5
4. 4
5. 8
6. 10
7. 15
8. 4
9. 3
10. 5
11. 3
12. 4
13. 6
14. 4
15. 12
16. 7
17. 3
18. 10
19. 20
20. 9

Medium Level Answers

1. 20
2. 24
3. 12
4. 27
5. 9
6. 21
7. 8
8. 45
9. 24
10. 25
11. 20
12. 27
13. 2
14. 8
15. 50
16. 15
17. 20
18. 8
19. 7
20. 49

Hard Level Answers

1. 21
2. 30
3. 63
4. 16
5. 45
6. 20
7. 12
8. 42
9. 27
10. 14
11. 40
12. 36
13. 12
14. 12
15. 40
16. 45
17. 9
18. 49
19. 50
20. 125

I hope this helps you understand how to find a fraction of a quantity! Keep practicing, and you will get even better!